1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
saw5 [17]
2 years ago
8

The area of a quadrilateral whose vertices is ABCD taken in order are (1,2) (-5,6) (7,-4) and (-2,t) be 0 ,find the value of t

Mathematics
1 answer:
AfilCa [17]2 years ago
3 0
Coordinates : A(1,2) B(-5,6) C(7,-4) D(-2,t) - All are taken in order

gradient of AB = (6-2)/(-5-1) = 4/-6 = -⅔
since it is quadrilateral, AB//CD
gradient of CD = -⅔
equation of CD : y-(-4)=-⅔(x-7)
y+4=-⅔x+14/3
y=-⅔x+⅔
now, sub x=-2 from D(-2,t)
since t is the y-coordinate of point D
t=-⅔(-2)+⅔
t=2

Therefore, t=2
You might be interested in
Test the set of polynomials for linear independence. If it is linearly dependent, express one of the polynomials as a linear com
aliina [53]

Answer:

The set of polynomial  is Linearly Independent.

Step-by-step explanation:

Given - {f(x) =7 + x, g(x) = 7 +x^2, h(x)=7 - x + x^2} in P^2

To find - Test the set of polynomials for linear independence.

Definition used -

A set of n vectors of length n is linearly independent if the matrix with these vectors as columns has a non-zero determinant.

The set is dependent if the determinant is zero.

Solution -

Given that,

f(x) =7 + x,

g(x) = 7 +x^2,

h(x)=7 - x + x^2

Now,

We can also write them as

f(x) = 7 + 1.x + 0.x²

g(x) = 7 + 0.x + 1.x²

h(x) = 7 - 1.x + 1.x²

Now,

The coefficient matrix becomes

A = \left[\begin{array}{ccc}7&1&0\\7&0&1\\7&-1&1\end{array}\right]

Now,

Det(A) = 7(0 + 1) - 1(7 - 7) + 0

           = 7(1) - 1(0)

           = 7 - 0 = 7

⇒Det(A) = 7 ≠ 0

As the determinant is non- zero ,

So, The set of polynomial  is Linearly Independent.

5 0
3 years ago
For questions 1-6, let U={0,1,4,9,16,25,36,49,64,81}, A={0,9,16,36,64}, and B={1,9,25,49,81}.
sweet [91]

Answer:Q.2 Does

Step-by-step explanation:

6 0
3 years ago
Jennifer is saving money to buy a bike The buce costs $343 She has $115 saved, and each week she adds $19 to her savings How lon
satela [25.4K]

Answer: 12 weeks

Step-by-step explanation:

343-115=228

228/19=12

5 0
3 years ago
Solve this I will give 49 points lol
LuckyWell [14K]

The answer to this question is 87

4 0
3 years ago
Read 2 more answers
Malia buys 2 loaves of bread priced at $2.46 per loaf and 2 pound of cheese priced at
aleksandrvk [35]
She spent $19.88 on cheese and bread
7 0
2 years ago
Other questions:
  • Perspective is most easily illustrated by which feature?
    8·1 answer
  • 3(x + 4) - 6 = 12<br> what is the value of c
    8·2 answers
  • Solve:(1/7)x +(1/6)y =3 ; (1/2)x - (1/3)y =5​
    15·1 answer
  • What is the answer to this?! <br> 2/3x−1/5x=x−1
    9·2 answers
  • Please help me I will give you the brain thing and extra points (image below) 5/5
    10·2 answers
  • The highest common factor (HCF) of 144 and 60,
    10·2 answers
  • Solve for n.<br> 11(n-1)+35=3n
    14·1 answer
  • Greyson is buying a $40 pair of jeans. He has a coupon for 15% off. He must pay 6% sales tax on
    15·1 answer
  • The results of rolling a 6-sided die 120 times are given in the table below.
    9·1 answer
  • Marques made a mistake when solving this problem. On what line did he make the error?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!